How do you simplify the expression $costheta(sectheta-costheta)$ ?

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Answer 1 · 2016-11-21T18:55:38

We know that $secbeta = 1/cosbeta$ .

$=>cos(1/costheta - costheta)$

$=>1 - cos^2theta$

Since $sin^2beta + cos^2beta = 1$ :

$=> sin^2theta$

Hopefully this helps!

How do you simplify the expression costheta(sectheta-costheta)costheta(sectheta-costheta)?